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Edge quantum criticality and emergent supersymmetry in topological phases (1610.04616v4)

Published 14 Oct 2016 in cond-mat.str-el, cond-mat.mes-hall, and cond-mat.supr-con

Abstract: Proposed as a fundamental symmetry describing our universe, spacetime supersymmetry (SUSY) has not been discovered yet in nature. Nonetheless, it has been predicted that SUSY may emerge in low-energy physics of quantum materials such as topological superconductors and Weyl semimetals. Here, by performing state-of-the-art sign-problem-free Majorana quantum Monte Carlo (QMC) simulations of an interacting 2D topological superconductor, we show convincing evidences that the N=1 SUSY emerges at its edge quantum critical point (EQCP) while its bulk remains gapped and topologically nontrivial. Remarkably, near the EQCP, we find that the edge Majorana fermion acquires a mass which is identical with that of its bosonic superpartner. To the best of our knowledge, this is the first observation that fermions and bosons have equal dynamically-generated masses, a haLLMark of emergent SUSY. We further discuss experimental signatures of such EQCP and the associated edge SUSY.

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